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In this lesson, we will learn how to find a limit and how to discuss the existence of a limit.

Q1:

Discuss the existence of l i m π₯ β β 1 5 π ( π₯ ) given

Q2:

Discuss the existence of l i m π₯ β β 1 π ( π₯ ) given

Q3:

Discuss the existence of l i m π₯ β 4 π ( π₯ ) given

Q4:

Discuss the existence of l i m ο β ο¦ π ( π₯ ) given

Q5:

Discuss the existence of l i m π₯ β 0 π ( π₯ ) given

Q6:

Determine l i m π₯ β 0 π ( π₯ ) if it exists, where

Q7:

Discuss the existence of the limit as π₯ β π given

Q8:

Determine l i m π₯ β 9 π ( π₯ ) , where

Q9:

Given that determine l i m π₯ β 1 π ( π₯ ) .

Q10:

Describe the limit as π₯ β 0 for the following function:

Q11:

Suppose that What can be said about the existence of l i m π₯ β β 1 π ( π₯ ) ?

Q12:

Given that find l i m π₯ β 0 π ( π₯ ) .

Q13:

Suppose that What can be said about the existence of l i m π₯ β 0 π ( π₯ ) .

Q14:

Discuss the existence of l i m π₯ β β 6 π ( π₯ ) given π ( π₯ ) = π₯ | π₯ + 7 | β 3 .

Q15:

Q16:

Discuss the existence of l i m π₯ β 2 π ( π₯ ) given

Q17:

Find l i m π₯ β β 1 π ( π₯ ) given

Q18:

Q19:

Suppose that What can be said about the existence of l i m π₯ β π π ( π₯ ) ?

Q20:

Given that and l i m π₯ β 0 π ( π₯ ) exists, determine the possible values of π .

Q21:

Given that the function has a limit when π₯ = 2 , determine the values of π and π .

Q22:

Given that find l i m π₯ β π 2 π ( π₯ ) , if it exists.

Q23:

Discuss the existence of l i m ο β ο± ο― π ( π₯ ) given

Q24:

Q25:

Discuss the existence of l i m ο β ο± ο½ ο‘ π ( π₯ ) given

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